Phase portrait of Hamiltonian systems with homogeneous nonlinearities

DOI10.1016/S0362-546X(99)00131-5zbMath0965.34015OpenAlexW2028532048WikidataQ127720113 ScholiaQ127720113MaRDI QIDQ1582457

Antoni Guillamon, Armengol Gasull, Víctor Mañosa

Publication date: 17 July 2001

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(99)00131-5

zbMATH Keywords

isochronous centerHamiltonian systemsbifurcationsphase portraitPoincaré compactification

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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